中长波和Benjamin-Ono区内波系统的数值解
Numerical solution of internal-wave systems in the intermediate long wave and the Benjamin-Ono regimes
摘要：
本文研究了在特定物理条件下，两层流体系统中界面内波传播的中间长波和Benjamin-Ono系统的数值逼近。本文着重讨论了两个问题的近似。首先，利用谱Fourier-Galerkin方法对相应的周期初值问题进行空间离散，并分析了半离散的误差。第二个问题涉及系统孤立波解的数值生成。我们使用加速技术来改进近似孤波的计算，并通过数值例子来检验它们的性能。
英文摘要：
The paper is concerned with the numerical approximation of the Intermediate Long Wave and Benjamin-Ono systems, that serve as models for the propagation of interfacial internal waves in a two-layer fluid system in particular physical regimes. The paper focuses on two issues of approximation. First, the spectral Fourier-Galerkin method is used to discretize in space the corresponding periodic initial-value problems, and the error of the semidiscretizations is analyzed. The second issue concerns the numerical generation of solitary-wave solutions of the systems. We use acceleration techniques to improve the computation of the approximate solitary waves and check their performance with numerical examples.
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